Контрольные задания > ЗАДАНИЕ: выполните действие и сократите результат, если это возможно 1).$\frac{2}{3} + \frac{5}{8} =$ 2).$\frac{7}{12} - \frac{3}{8} =$ 3).$\frac{11}{16} - \frac{5}{8} =$ 4).$\frac{6}{35} + \frac{3}{10} =$ 5).$\frac{8}{15} - \frac{4}{9} =$ 6).$\frac{4}{15} + \frac{7}{12} =$ 7).$\frac{11}{15} - \frac{3}{5} =$ 8).$\frac{5}{6} - \frac{9}{14} =$ 9).$\frac{4}{5} + \frac{2}{3} + \frac{4}{15} =$ 10).$\frac{7}{8} + \frac{11}{12} - \frac{5}{6} =$ 11).$2 \frac{1}{5} + 3 \frac{7}{30} =$ 12).$3 \frac{2}{4} - 2 \frac{5}{9} =$ 13).$8 \frac{5}{9} + 1 \frac{1}{6} =$ 14).$\frac{9}{16} + \frac{5}{6} - \frac{7}{12} =$ 15).$\frac{5}{6} - \frac{3}{4} + \frac{5}{24} =$
Вопрос:

ЗАДАНИЕ: выполните действие и сократите результат, если это возможно 1).$$\frac{2}{3} + \frac{5}{8} =$$ 2).$$\frac{7}{12} - \frac{3}{8} =$$ 3).$$\frac{11}{16} - \frac{5}{8} =$$ 4).$$\frac{6}{35} + \frac{3}{10} =$$ 5).$$\frac{8}{15} - \frac{4}{9} =$$ 6).$$\frac{4}{15} + \frac{7}{12} =$$ 7).$$\frac{11}{15} - \frac{3}{5} =$$ 8).$$\frac{5}{6} - \frac{9}{14} =$$ 9).$$\frac{4}{5} + \frac{2}{3} + \frac{4}{15} =$$ 10).$$\frac{7}{8} + \frac{11}{12} - \frac{5}{6} =$$ 11).$$2 \frac{1}{5} + 3 \frac{7}{30} =$$ 12).$$3 \frac{2}{4} - 2 \frac{5}{9} =$$ 13).$$8 \frac{5}{9} + 1 \frac{1}{6} =$$ 14).$$\frac{9}{16} + \frac{5}{6} - \frac{7}{12} =$$ 15).$$\frac{5}{6} - \frac{3}{4} + \frac{5}{24} =$$

Ответ:

  1. $$\frac{2}{3} + \frac{5}{8} = \frac{2 \cdot 8}{3 \cdot 8} + \frac{5 \cdot 3}{8 \cdot 3} = \frac{16}{24} + \frac{15}{24} = \frac{16+15}{24} = \frac{31}{24}$$
  2. $$\frac{7}{12} - \frac{3}{8} = \frac{7 \cdot 2}{12 \cdot 2} - \frac{3 \cdot 3}{8 \cdot 3} = \frac{14}{24} - \frac{9}{24} = \frac{14-9}{24} = \frac{5}{24}$$
  3. $$\frac{11}{16} - \frac{5}{8} = \frac{11}{16} - \frac{5 \cdot 2}{8 \cdot 2} = \frac{11}{16} - \frac{10}{16} = \frac{11-10}{16} = \frac{1}{16}$$
  4. $$\frac{6}{35} + \frac{3}{10} = \frac{6 \cdot 2}{35 \cdot 2} + \frac{3 \cdot 7}{10 \cdot 7} = \frac{12}{70} + \frac{21}{70} = \frac{12+21}{70} = \frac{33}{70}$$
  5. $$\frac{8}{15} - \frac{4}{9} = \frac{8 \cdot 3}{15 \cdot 3} - \frac{4 \cdot 5}{9 \cdot 5} = \frac{24}{45} - \frac{20}{45} = \frac{24-20}{45} = \frac{4}{45}$$
  6. $$\frac{4}{15} + \frac{7}{12} = \frac{4 \cdot 4}{15 \cdot 4} + \frac{7 \cdot 5}{12 \cdot 5} = \frac{16}{60} + \frac{35}{60} = \frac{16+35}{60} = \frac{51}{60} = \frac{17}{20}$$
  7. $$\frac{11}{15} - \frac{3}{5} = \frac{11}{15} - \frac{3 \cdot 3}{5 \cdot 3} = \frac{11}{15} - \frac{9}{15} = \frac{11-9}{15} = \frac{2}{15}$$
  8. $$\frac{5}{6} - \frac{9}{14} = \frac{5 \cdot 7}{6 \cdot 7} - \frac{9 \cdot 3}{14 \cdot 3} = \frac{35}{42} - \frac{27}{42} = \frac{35-27}{42} = \frac{8}{42} = \frac{4}{21}$$
  9. $$\frac{4}{5} + \frac{2}{3} + \frac{4}{15} = \frac{4 \cdot 3}{5 \cdot 3} + \frac{2 \cdot 5}{3 \cdot 5} + \frac{4}{15} = \frac{12}{15} + \frac{10}{15} + \frac{4}{15} = \frac{12+10+4}{15} = \frac{26}{15}$$
  10. $$\frac{7}{8} + \frac{11}{12} - \frac{5}{6} = \frac{7 \cdot 3}{8 \cdot 3} + \frac{11 \cdot 2}{12 \cdot 2} - \frac{5 \cdot 4}{6 \cdot 4} = \frac{21}{24} + \frac{22}{24} - \frac{20}{24} = \frac{21+22-20}{24} = \frac{23}{24}$$
  11. $$2 \frac{1}{5} + 3 \frac{7}{30} = \frac{2 \cdot 5 + 1}{5} + \frac{3 \cdot 30 + 7}{30} = \frac{11}{5} + \frac{97}{30} = \frac{11 \cdot 6}{5 \cdot 6} + \frac{97}{30} = \frac{66}{30} + \frac{97}{30} = \frac{66+97}{30} = \frac{163}{30} = 5 \frac{13}{30}$$
  12. $$3 \frac{2}{4} - 2 \frac{5}{9} = 3 \frac{1}{2} - 2 \frac{5}{9} = \frac{3 \cdot 2 + 1}{2} - \frac{2 \cdot 9 + 5}{9} = \frac{7}{2} - \frac{23}{9} = \frac{7 \cdot 9}{2 \cdot 9} - \frac{23 \cdot 2}{9 \cdot 2} = \frac{63}{18} - \frac{46}{18} = \frac{63-46}{18} = \frac{17}{18}$$
  13. $$8 \frac{5}{9} + 1 \frac{1}{6} = \frac{8 \cdot 9 + 5}{9} + \frac{1 \cdot 6 + 1}{6} = \frac{77}{9} + \frac{7}{6} = \frac{77 \cdot 2}{9 \cdot 2} + \frac{7 \cdot 3}{6 \cdot 3} = \frac{154}{18} + \frac{21}{18} = \frac{154+21}{18} = \frac{175}{18} = 9 \frac{13}{18}$$
  14. $$\frac{9}{16} + \frac{5}{6} - \frac{7}{12} = \frac{9 \cdot 3}{16 \cdot 3} + \frac{5 \cdot 8}{6 \cdot 8} - \frac{7 \cdot 4}{12 \cdot 4} = \frac{27}{48} + \frac{40}{48} - \frac{28}{48} = \frac{27+40-28}{48} = \frac{39}{48} = \frac{13}{16}$$
  15. $$\frac{5}{6} - \frac{3}{4} + \frac{5}{24} = \frac{5 \cdot 4}{6 \cdot 4} - \frac{3 \cdot 6}{4 \cdot 6} + \frac{5}{24} = \frac{20}{24} - \frac{18}{24} + \frac{5}{24} = \frac{20-18+5}{24} = \frac{7}{24}$$
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